42667981356601 has 2 divisors, whose sum is σ = 42667981356602. Its totient is φ = 42667981356600.

The previous prime is 42667981356589. The next prime is 42667981356677. The reversal of 42667981356601 is 10665318976624.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 39074700952576 + 3593280404025 = 6250976^2 + 1895595^2 .

It is a cyclic number.

It is not a de Polignac number, because 42667981356601 - 2⁵ = 42667981356569 is a prime.

It is not a weakly prime, because it can be changed into another prime (42667981356701) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 21333990678300 + 21333990678301.

It is an arithmetic number, because the mean of its divisors is an integer number (21333990678301).

It is a 1-persistent number, because it is pandigital, but 2⋅42667981356601 = 85335962713202 is not.

Almost surely, 2^{42667981356601} is an apocalyptic number.

It is an amenable number.

42667981356601 is a deficient number, since it is larger than the sum of its proper divisors (1).

42667981356601 is an equidigital number, since it uses as much as digits as its factorization.

42667981356601 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 78382080, while the sum is 64.

The spelling of 42667981356601 in words is "forty-two trillion, six hundred sixty-seven billion, nine hundred eighty-one million, three hundred fifty-six thousand, six hundred one".